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Finding the Third Proportional to 478,324 and 1,049,946

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Solution

The third proportional to 478,324 and 1,049,946 is: 2,304,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,324 : 1,049,946 = 1,049,946 : x
  2. Step 2: Convert to fraction form
    478,324/1,049,946 = 1,049,946/x
  3. Step 3: Cross multiply
    478,324x = 1,049,946 × 1,049,946
  4. Step 4: Simplify right side
    478,324x = 1,102,386,602,916
  5. Step 5: Solve for x
    x = 1,102,386,602,916/478,324
  6. Step 6: Final answer
    x = 2,304,685.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.